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2001 Local Sub-Gaussian Estimates on Graphs: The Strongly Recurrent Case
Andras Telcs
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Electron. J. Probab. 6: 1-33 (2001). DOI: 10.1214/EJP.v6-95


This paper proves upper and lower off-diagonal, sub-Gaussian transition probabilities estimates for strongly recurrent random walks under sufficient and necessary conditions. Several equivalent conditions are given showing their particular role and influence on the connection between the sub-Gaussian estimates, parabolic and elliptic Harnack inequality.


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Andras Telcs. "Local Sub-Gaussian Estimates on Graphs: The Strongly Recurrent Case." Electron. J. Probab. 6 1 - 33, 2001.


Accepted: 25 May 2001; Published: 2001
First available in Project Euclid: 19 April 2016

zbMATH: 1021.60037
MathSciNet: MR1873299
Digital Object Identifier: 10.1214/EJP.v6-95

Primary: 82B41

Keywords: Harnack inequality , potential theory , Random walks , reversible Markov chains

Vol.6 • 2001
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